Answer:
2 hours: 3968 <u>[I don't understand the $ sign in the answer box]</u>
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
30% of 22.40 is 6.72. 6.72 plus 22.40 is 29.12. Therefore the answer is 29.12.
100-75=25
27 divided by 0.25 is108
there are 108 questions on the test
Answer:
See below
Step-by-step explanation:
Translation about the y axis would be y = f(-x)
Local max point of G is seen as -3,4 (NOT ASKED FOR)
<u>Local max for -f(x) would be at 3, -4 as the negative sign flips around the x-axis (this would be the max point flipped BUT a MAX point would be 6,0 </u>
50(3/4) is 37.5
35 is less than 37.5, and if 35 states approve the amendment, the constitution will not be amended.
